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Finding the Fourth Proportional to 8.59, 11.84 and 5.96

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Solution

The fourth proportional to 8.59, 11.84 and 5.96 is: 8.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.59 : 11.84 = 5.96 : x
  2. Step 2: Convert to fraction form
    8.59/11.84 = 5.96/x
  3. Step 3: Cross multiply
    8.59x = 11.84 × 5.96
  4. Step 4: Simplify right side
    8.59x = 70.57
  5. Step 5: Solve for x
    x = 70.57/8.59
  6. Step 6: Final answer
    x = 8.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.